Use the substitution method to solve the system of equations.
3x + 4y = 10
y = x-1
A. (2,3)
B. (2,1)
C. (3,2)
D. (1,2)

Answer:

a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.

Step-by-step explanation:

Given

[tex]y = 70h + 100[/tex]

Required

Interpret

An equation has the form

[tex]y = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex]

By comparison with [tex]y = 70h + 100[/tex]

[tex]m = 70[/tex]

i.e. He travels at 70 miles per hour

And

[tex]b = 100[/tex]

This represents the initial distance as at when he started travelling (12 noon)

i.e. At noon, he is 100 miles away from home

Answer:

A is the right answer.

Step-by-step explanation:

Answer:

.56 cent

Step-by-step explanation:

Hope this helped you!! Give brainliest.

Answer:

The total number of faces in a pyramid= 1+n

they got sold by her

Step-by-step explanation:

lol she sold her apples to people

Answer:

y=15x

Step-by-step explanation:

YEPP PRETTY CONFIDENT IN THE ANSWER

9514 1404 393

Answer:

  s = 15w

Step-by-step explanation:

The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.

The equation asked for is ...

  s = 15w

Answer:

4

Step-by-step explanation:

2*2 answer is 4

33

Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.

Answer:

8

Step-by-step explanation:

exact

127/9-5.89

14.11-5.89

8.22

estimating

14 1/9 is close to 14

5.89 is close to 6

14-6 is 8

Answer:

the answer is 8

Step-by-step explanation:

hope i help

Answer:

n the figure, m 3 = 75 and mZ10 = 115. ... CY 337] . 2x +13269. 2x =50. X=28. Find mZ1 in each figure. Exoor. 10. تا ... m24 = 75 24 and 22 are vertical angles.

Missing: m22 = ‎| Must include: m22 =

Step-by-step explanation:

Answer:

$445

Step-by-step explanation:

Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

The company expects $445 in sales.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising.

Now, Linear regression represents the relationship between two variables. the value of y depends on the value of x.

Here, x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y as;

y = 2.1 x + 130

y = 2.1 (150) + 130

y = 445

Thus, The company expects $445 in sales.

Learn more about the function visit:

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The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the directions are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

The magnitude of a vector can be defined as:

The length of a vector or the distance between the initial point and the endpoint of a vector.

Here given that,

[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]

The magnitude of a vector is the length of the vector.

The magnitude of the vector a is denoted as ∥a∥.

For magnitude,

[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]

For Direction of sum,

[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

For the vector B, the direction of the sum is

[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the direction are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

To know more about the magnitude;

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Answer:

0.65

Step-by-step explanation:

The required standard deviation is 0.65

Given data is,

Computation:

[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]

Now,

[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]

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Answer:

-0.2

Step-by-step explanation:

it's that exact answer , I did not rounded

Answer:

R = [tex]\frac{U}{I}[/tex]

Step-by-step explanation:

Given

I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )

R × I = U ( isolate R by dividing both sides by I )

R = [tex]\frac{U}{I}[/tex]

Answer:

$460.

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]

So the price yesterday was $460

Answer:

x = 25.734083

[tex]x \approx 25.734[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)

Tangent Ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

Substituting:

[tex]\displaystyle \tan 25^\circ=\frac{12}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{12}{\tan 25^\circ}[/tex]

Calculating:

[tex]\displaystyle x=\frac{12}{0.466307}[/tex]

x = 25.734083

Round to 3 decimals:

[tex]\mathbf{x \approx 25.734}[/tex]

Step-by-step explanation:

Given the inequality 4x - 2y < 22, to get the ordered pair of the inequality, we will have to set x = 0 and y = 0 and then solve

when x = 0;

4(0)-2y < 22

-2y < 22

Divide both sides by -2

-2y/-2 > 22/-2

y > -11

When y = 0

4x - 2(0)<22

4x < 22

x < 22/4

x < 11/2

Answer:

Y=x+12

Step-by-step explanation:

Not pretty sure XD but .-.

Answer: 1/2 x + 3

Step-by-step explanation: y = 3 slope = 1/2

Answer:

50 pockets

Step-by-step explanation:

Total yards of lace = 75

Yards to decorate one Pocket = 1 1/2 yards

How many pockets can she decorate with the lace

Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket

= 75 ÷ 1 1/2

= 75 ÷ 3/2

= 75 × 2/3

= 150/3

= 50

Number of pockets she can decorate with the lace = 50 pockets

Answer:

[tex]\huge\boxed{\sf (7y+3)(7y+3)}[/tex]

Step-by-step explanation:

[tex]\sf = 49y^2+42y+9\\\\=(7y)^2+2(7y)(3)+(3)^2\\\\Using \ Formula \ a^2+2ab+b^2 = (a+b)^2\\\\= (7y+3)^2\\\\= (7y+3)(7y+3)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

y=1/5x+3

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.

Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)

Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5

Equation is: y=1/5x+3

Answer:

what are the choices

Step-by-step explanation:

Answer: is there suppose to be a pic?

Answer:

La familia paga 72 €.

Step-by-step explanation:

Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.

Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.

3 adultos* 12 €= 36 €

Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.

6 niños* 8 €= 48 €

Sumando el total pagado por la entrada para adultos y para niños se obtiene:

36 € + 48 €=  84 €

La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:

3 "packs" de 3 entradas*  4 €= 12 €

Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:

84 € - 12 €= 72 €

Finalmente, la familia paga 72 €.

Answer:

Step-by-step explanation:

v

=

x

3

+

6

x

2

+

5

x

Explanation:

The formula for volume is:  

v

=

l

⋅

w

⋅

h

where  

v

is the volume,  

l

is the length,  

w

is the width and  

h

is the height.

Substituting what we know into this formula gives:

v

=

(

x

+

5

)

(

x

+

1

)

x

v

=

(

x

+

5

)

(

x

2

+

x

)

v

=

x

3

+

x

2

+

5

x

2

+

5

x

v

=

x

3

+

(

1

+

5

)

x

2

+

5

x

v

=

x

3

+

6

x

2

+

5

x

Answer:

D (6, 21)

Step-by-step explanation:

Since the ratio of the corresponding values of x and y given in the table is 2 : 7

So, 6/ 21 = 2/7 = 2: 7

Thus, D (6, 21) is the correct answer.

Answer:

D

Step-by-step explanation: